The pressure P and volume V of the gas in a cylinder of length 0.8 m and radius 0.2 m
Chapter 6, Problem 39(choose chapter or problem)
The pressure P and volume V of the gas in a cylinder of length 0.8 m and radius 0.2 m, with a movable piston, are related by P V 1.4 = k, where k is a constant (Figure 14). When the piston is fully extended, the gas pressure is 2000 kilopascals (kPa; 1 kilopascal is 103 newtons per square meter). (a) Calculate k. (b) The force on the piston is P A, where A is the pistons area. Calculate the force as a function of the length x of the column of gas. (c) Calculate the work required to compress the gas column from 0.8 m to 0.5 m.
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